To calculate: The solution of the system of equation by elimination method.
The solution of system of equation are infinitely many solution.
Given Information:
The given system of equation is,
Concept Used:
In the elimination method, eliminate one variable from the result equation by using addition or subtraction method over the equation.
Calculation:
Consider the given system of equations,
Multiply the first equation by 3.
Add the equation (3) and the second equation.
So, the obtained result is
This indicate that the solution of the system are infinite. All the real values satisfy this system.
Hence, there are infinite many solution.
Chapter 7 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
- (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2) sitting over the unit disk.arrow_forward6. Solve the system of differential equations using Laplace Transforms: x(t) = 3x₁ (t) + 4x2(t) x(t) = -4x₁(t) + 3x2(t) x₁(0) = 1,x2(0) = 0arrow_forward3. Determine the Laplace Transform for the following functions. Show all of your work: 1-t, 0 ≤t<3 a. e(t) = t2, 3≤t<5 4, t≥ 5 b. f(t) = f(tt)e-3(-) cos 4τ drarrow_forward
- 4. Find the inverse Laplace Transform Show all of your work: a. F(s) = = 2s-3 (s²-10s+61)(5-3) se-2s b. G(s) = (s+2)²arrow_forward1. Consider the differential equation, show all of your work: dy =(y2)(y+1) dx a. Determine the equilibrium solutions for the differential equation. b. Where is the differential equation increasing or decreasing? c. Where are the changes in concavity? d. Suppose that y(0)=0, what is the value of y as t goes to infinity?arrow_forward2. Suppose a LC circuit has the following differential equation: q'+4q=6etcos 4t, q(0) = 1 a. Find the function for q(t), use any method that we have studied in the course. b. What is the transient and the steady-state of the circuit?arrow_forward
- 5. Use variation of parameters to find the general solution to the differential equation: y" - 6y' + 9y=e3x Inxarrow_forwardLet the region R be the area enclosed by the function f(x) = ln (x) + 2 and g(x) = x. Write an integral in terms of x and also an integral in terms of y that would represent the area of the region R. If necessary, round limit values to the nearest thousandth. 5 4 3 2 1 y x 1 2 3 4arrow_forward(28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forward
- (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2) sitting over the unit disk. = (a) (4 points) What is the boundary OS? Explain briefly. (b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.arrow_forward(6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S is the unit circle x² + y² = 1. Let F(x, y, z) = (x², y², z²). Use the Stokes' Theorem to calculate the line integral Hint: First calculate V x F. Jos F F.ds.arrow_forward(28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





